Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.12.075 ◽

2014 ◽

Vol 230 ◽

pp. 639-649 ◽

Author(s):

P. Revathi ◽

R. Sakthivel ◽

Yong Ren ◽

S. Marshal Anthoni

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Mild Solutions ◽

Almost Automorphic

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Stability of square-mean almost automorphic mild solutions to impulsive stochastic differential equations driven by G-Brownian motion

International Journal of Control ◽

10.1080/00207179.2019.1575527 ◽

2019 ◽

Vol 93 (12) ◽

pp. 3016-3025

Author(s):

Lanying Hu ◽

Yong Ren ◽

R. Sakthivel

Keyword(s):

Brownian Motion ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Mild Solutions ◽

Almost Automorphic

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Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.11.014 ◽

2011 ◽

Vol 61 (2) ◽

pp. 384-391 ◽

Author(s):

Yong-Kui Chang ◽

Zhi-Han Zhao ◽

G.M. N’Guérékata

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Hilbert Spaces ◽

Mild Solutions ◽

Almost Automorphic

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Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space

Advances in Difference Equations ◽

10.1186/1687-1847-2011-9 ◽

2011 ◽

Vol 2011 (1) ◽

Author(s):

Yong-Kui Chang ◽

Zhi-Han Zhao ◽

Gaston Mandata N'Guérékata

Keyword(s):

Hilbert Space ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Mild Solutions ◽

Almost Automorphic

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Stepanov-Like Pseudo Almost Automorphic Solutions to Some Stochastic Differential Equations

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-015-0168-3 ◽

2015 ◽

Vol 39 (1) ◽

pp. 181-197 ◽

Author(s):

Yong-Kui Chang ◽

Zhuan-Xia Cheng ◽

G. M. N’Guérékata

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Almost Automorphic ◽

Pseudo Almost Automorphic

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Almost automorphic solutions for stochastic differential equations driven by fractional Brownian motion

Mathematische Nachrichten ◽

10.1002/mana.201800017 ◽

2018 ◽

Vol 292 (5) ◽

pp. 983-995 ◽

Author(s):

Feng Chen ◽

Xue Yang

Keyword(s):

Brownian Motion ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Fractional Brownian Motion ◽

Almost Automorphic

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Pseudo almost automorphic mild solutions to non-autonomous differential equations in the “strong topology”

Banach Journal of Mathematical Analysis ◽

10.1007/s43037-021-00165-3 ◽

2022 ◽

Vol 16 (1) ◽

Author(s):

Feng-Xia Zheng ◽

Hong-Xu Li

Keyword(s):

Differential Equations ◽

Mild Solutions ◽

Strong Topology ◽

Almost Automorphic ◽

Pseudo Almost Automorphic ◽

Autonomous Differential Equations

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Almost automorphic solutions for stochastic differential equations driven by Lévy noise

Journal of Functional Analysis ◽

10.1016/j.jfa.2013.11.011 ◽

2014 ◽

Vol 266 (3) ◽

pp. 1115-1149 ◽

Author(s):

Zhenxin Liu ◽

Kai Sun

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Lévy Noise ◽

Almost Automorphic ◽

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Local stability and parameter dependence of mild solutions for stochastic differential equations

Advances in Difference Equations ◽

10.1186/1687-1847-2014-276 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Lijun Pan

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Local Stability ◽

Mild Solutions ◽

Parameter Dependence

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Mild solutions of evolution quantum stochastic differential equations with nonlocal conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6368 ◽

2020 ◽

Vol 43 (10) ◽

pp. 6254-6261

Author(s):

Sheila A. Bishop ◽

Godwin A. Okeke ◽

Kanayo Eke

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Mild Solutions ◽

Nonlocal Conditions

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Square-mean almost automorphic solutions for some stochastic differential equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-10-10377-3 ◽

2010 ◽

Vol 138 (10) ◽

pp. 3689-3689 ◽

Author(s):

Miaomiao Fu ◽

Zhenxin Liu

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Almost Automorphic

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